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102200221131 = 3449173343781
BaseRepresentation
bin101111100101110011…
…0111001110111001011
3100202210111202011020020
41133023212321313023
53133301224034011
6114541121231523
710245421355241
oct1371346716713
9322714664206
10102200221131
113a3853a6878
12179827925a3
1398395ba938
144d37358791
1529d249c006
hex17cb9b9dcb

102200221131 has 16 divisors (see below), whose sum is σ = 136652378400. Its totient is φ = 67940956160.

The previous prime is 102200221111. The next prime is 102200221169. The reversal of 102200221131 is 131122002201.

It is a cyclic number.

It is not a de Polignac number, because 102200221131 - 222 = 102196026827 is a prime.

It is a super-2 number, since 2×1022002211312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102200221131.

It is not an unprimeable number, because it can be changed into a prime (102200221111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2312461 + ... + 2356241.

It is an arithmetic number, because the mean of its divisors is an integer number (8540773650).

Almost surely, 2102200221131 is an apocalyptic number.

102200221131 is a deficient number, since it is larger than the sum of its proper divisors (34452157269).

102200221131 is a wasteful number, since it uses less digits than its factorization.

102200221131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45966.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102200221131 its reverse (131122002201), we get a palindrome (233322223332).

The spelling of 102200221131 in words is "one hundred two billion, two hundred million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 449 1347 1733 5199 43781 131343 778117 2334351 19657669 58973007 75872473 227617419 34066740377 102200221131